From 7fe4545d9aa22abc9a7b2b8486f033cac2cec041 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Tue, 25 Sep 2018 00:22:28 -0400 Subject: spacing tweak on detailed balance equation --- monte-carlo.tex | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/monte-carlo.tex b/monte-carlo.tex index 2bc29ee..a3e18a4 100644 --- a/monte-carlo.tex +++ b/monte-carlo.tex @@ -231,7 +231,7 @@ C\subset E$ is related to the probability of the reverse process $P(\set{s'}\to\ &=\frac{f_{m_0}(r\mid\set s)}{f_{m_0}(r^{-1}\mid\set s)}\prod_{\{i,j\}\in C}\frac{p_r(s_i,s_j)}{p_{r^{-1}}(s_i',s_j')}\prod_{\{i,j\}\in\partial C}\frac{1-p_r(s_i,s_j)}{1-p_{r^{-1}}(s'_i,s'_j)} - =\prod_{\{i,j\}\in\partial + =\!\!\!\!\prod_{\{i,j\}\in\partial C}e^{\beta(\J(s_i',s_j')-\J(s_i,s_j))} =\frac{e^{-\beta\H(\set{s'})}}{e^{-\beta\H(\set s)}}, \end{aligned} -- cgit v1.2.3-70-g09d2